What is 16.49 percent of 11.4 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 11.4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 11.4 is 100%, so we can write it down as 11.4=100%.
4. We know, that x is 16.49% of the output value, so we can write it down as x=16.49%.
5. Now we have two simple equations:
1) 11.4=100%
2) x=16.49%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
11.4/x=100%/16.49%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16.49% of 11.4

11.4/x=100/16.49
(11.4/x)*x=(100/16.49)*x       - we multiply both sides of the equation by x
11.4=6.0642813826562*x       - we divide both sides of the equation by (6.0642813826562) to get x
11.4/6.0642813826562=x
1.87986=x
x=1.87986

now we have:
16.49% of 11.4=1.87986